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Finding the Fourth Proportional to 16,311, 24,467.72 and 4,625.16

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Solution

The fourth proportional to 16,311, 24,467.72 and 4,625.16 is: 6,938.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,311 : 24,467.72 = 4,625.16 : x
  2. Step 2: Convert to fraction form
    16,311/24,467.72 = 4,625.16/x
  3. Step 3: Cross multiply
    16,311x = 24,467.72 × 4,625.16
  4. Step 4: Simplify right side
    16,311x = 113,167,119.84
  5. Step 5: Solve for x
    x = 113,167,119.84/16,311
  6. Step 6: Final answer
    x = 6,938.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.